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lbvjy [14]
3 years ago
10

A closed rectangular box with a sqaure

Mathematics
1 answer:
deff fn [24]3 years ago
6 0

Answer:

  4 inches on each edge of the cube

Step-by-step explanation:

A closed box will have minimum area when it is a cube. For a volume of 64 in^3, the edge length must be ∛64 = 4 inches.

_____

Using derivatives, the base edge length can be defined as x, and the surface area as ...

  S = 2x^2 + 4x(64/x^2)

This is minimized when dS/dx = 0:

  dS/dx =- 4x -256/x^2 = 0

  x^3 = 64

  x = ∛64 = 4 . . . . . should look familiar

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What positive number is left of 1 ( 0 is neutral)
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Answer:

any number between 0 and 1

Step-by-step explanation:

This includes decimals.

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3 years ago
Two partners agree to invest equal amounts in their business. One will contribute​ $10,000 immediately. The other plans to contr
krek1111 [17]

Answer:

She should contribute $ 8369.38 ( approx )

Step-by-step explanation:

Let P be the amount invested by the other partner,

∵ The amount formula in compound interest,

A=P(1+\frac{r}{n})^{nt}

Where,

r = annual rate,

n = number of compounding periods in a year,

t = number of years,

Here, r = 9% = 0.09, n = 4 ( quarters in a year ), t = 2 years,

Then the amount after 2 years,

A = P(1+\frac{0.09}{4})^{8}

According to the question,

A = $ 10,000,

P(1+\frac{0.09}{4})^{8}= 10000

P(1+0.0225)^8 = 10000

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6 0
3 years ago
Y=-4x-3 if the slope was changed to -.50,and the y intercept remained the same?​
yanalaym [24]
The new slope would now be 2 so y=2x-3
3 0
3 years ago
Two numbers rolled can be added to get a sum. Find P(sum is even.)
azamat
When you roll two numbers you have four kinds of outcomes: EE, EO, OE, OO (where E = even, O = odd).

You get an even sum only if you sum two numbers that are both even or both odd, therefore the outcomes wanted are two: EE and OO.

Therefore:
P(sum is even) = 2 / 4 = 0.5

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6 0
3 years ago
Find this in the graph g(-4) =
Radda [10]

Answer:

g(-4) = 1

General Formulas and Concepts:

<u>Algebra I</u>

  • Reading a Cartesian plane
  • Coordinates (x, y)
  • Function Notation

Step-by-step explanation:

What g(-4) is saying is what the output of the function g(x) when x= -4. According to the graph, when x = -4, y = 1.

∴ g(-4) = 1

5 0
2 years ago
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